Evaluate: 2 × {17 - 2 × (10 - 5)}
14
To evaluate the expression 2 × {17 - 2 × (10 - 5)}, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's the step-by-step process:
- Simplify expressions inside the parentheses first:
- The innermost parentheses is (10 - 5). Calculate: 10 - 5 = 5.
- Substitute the result back into the expression: 2 × {17 - 2 × 5}.
- Next, perform the multiplication:
- Calculate 2 × 5 = 10.
- Update the expression: 2 × {17 - 10}.
- Now perform the subtraction:
- Calculate 17 - 10 = 7.
- Update the expression with the new result: 2 × 7.
- Finally, perform the multiplication:
- Calculate 2 × 7 = 14.
The evaluated result of the given expression is 14.
Important Questions from Simplification
Simplify the following expression.
\(\left(\frac{7}{16} \div \frac{1}{2}\:of\: \frac{1}{5}\right)\times \frac{4}{5}-\frac{1}{3}\times\frac{5}{8}\div \frac{1}{2}+\frac{3}{4}\)
The value of \(\left( {2\frac{6}{7}of4\frac{1}{5} \div \frac{2}{3}} \right) \times 5\frac{1}{9} \div \left( {\frac{3}{4} \times 2\frac{2}{3}of\frac{1}{2} \div \frac{1}{4}} \right)\) is:
The value of \(\left[ {\frac{4}{7}\rm \;of\;2\frac{4}{5} \times 1\frac{2}{3} - \left( {3\frac{1}{2} - 2\frac{1}{6}} \right)} \right] \div \left( {3\frac{1}{5} \div 4\frac{1}{2}\;\rm of\;\;5\frac{1}{3}} \right)\) is:
The value of \(\frac{{0.0203 \times 2.92}}{{0.7 \times 0.0365 \times 2.9}} \div \frac{{{{\left( {12.12} \right)}^2} - {{\left( {8.12} \right)}^2}}}{{{{\left( {0.25} \right)}^2} + \left( {0.25} \right)\left( {19.99} \right)}}\) is:
The value of 4 ÷ 12 of [3 ÷ 4 of {(4 - 2) × 6 ÷ 2}] - 2 × 6 ÷ 8 + 3 is:
